TSTP Solution File: SWW474+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWW474+2 : TPTP v5.3.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2800MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Nov 27 14:54:05 EST 2011
% Result : Theorem 3.84s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 94 ( 47 unt; 0 def)
% Number of atoms : 172 ( 32 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 138 ( 60 ~; 66 |; 2 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-2 aty)
% Number of variables : 88 ( 21 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(17,axiom,
! [X12] :
( is_bool(X12)
=> ( equal(X12,fTrue)
| equal(X12,fFalse) ) ),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',help_If_3_1_If_000tc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__Ostate) ).
fof(174,axiom,
! [X12,X13] :
( is_bool(X12)
=> equal(hAPP_H513860823e_bool(cOMBK_1079618832_state(X12),X13),X12) ),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____ddpglwnxwg__) ).
fof(199,axiom,
! [X1] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_73_empty__iff) ).
fof(225,axiom,
! [X57,X58] :
( hBOOL(wT_bodies)
=> ( equal(hAPP_p799580910on_com(body,X57),some_com(X58))
=> hBOOL(hAPP_com_bool(wt,X58)) ) ),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_215_WT__bodiesD) ).
fof(234,axiom,
! [X1] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X1))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool))) ) ) ),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_53_MGF) ).
fof(264,axiom,
~ hBOOL(fFalse),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',help_fFalse_1_1_U) ).
fof(342,axiom,
! [X10] : equal(hAPP_f921536533e_bool(collec727977250_state,X10),X10),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_177_Collect__def) ).
fof(433,axiom,
! [X19] :
( hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X19))
<=> hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X19),bot_bo1055319631e_bool)) ),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_388_bot__empty__eq) ).
fof(522,axiom,
hBOOL(hoare_298929751gleton),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',conj_0) ).
fof(556,axiom,
! [X8] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X8)),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_366_bot__least) ).
fof(607,axiom,
! [X40,X77,X78] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X77),X78))
=> ( hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X77),X40))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X40),X78)) ) ),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_3_thin) ).
fof(608,axiom,
equal(bot_bo1055319631e_bool,hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse))),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_85_empty__def) ).
fof(618,axiom,
! [X38,X39] : is_bool(hAPP_com_bool(X38,X39)),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',gsy_c_hAPP_000tc__Com__Ocom_000tc__HOL__Obool) ).
fof(655,axiom,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',fact_29_finite_OemptyI) ).
fof(707,axiom,
! [X38,X39] : is_bool(hAPP_f1760790145l_bool(X38,X39)),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_Itc__Com__O_004) ).
fof(724,axiom,
is_bool(fFalse),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',gsy_c_fFalse) ).
fof(804,axiom,
hBOOL(wT_bodies),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',conj_1) ).
fof(808,axiom,
equal(hAPP_p799580910on_com(body,pn),some_com(y)),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',conj_5) ).
fof(810,conjecture,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
file('/tmp/tmpomk_Yn/sel_SWW474+2.p_1',conj_7) ).
fof(869,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(assume_negation,[status(cth)],[810]) ).
fof(899,plain,
! [X1] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
inference(fof_simplification,[status(thm)],[199,theory(equality)]) ).
fof(910,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[264,theory(equality)]) ).
fof(968,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(fof_simplification,[status(thm)],[869,theory(equality)]) ).
fof(1040,plain,
! [X12] :
( ~ is_bool(X12)
| equal(X12,fTrue)
| equal(X12,fFalse) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(1041,plain,
! [X13] :
( ~ is_bool(X13)
| equal(X13,fTrue)
| equal(X13,fFalse) ),
inference(variable_rename,[status(thm)],[1040]) ).
cnf(1042,plain,
( X1 = fFalse
| X1 = fTrue
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[1041]) ).
fof(1622,plain,
! [X12,X13] :
( ~ is_bool(X12)
| equal(hAPP_H513860823e_bool(cOMBK_1079618832_state(X12),X13),X12) ),
inference(fof_nnf,[status(thm)],[174]) ).
fof(1623,plain,
! [X14,X15] :
( ~ is_bool(X14)
| equal(hAPP_H513860823e_bool(cOMBK_1079618832_state(X14),X15),X14) ),
inference(variable_rename,[status(thm)],[1622]) ).
cnf(1624,plain,
( hAPP_H513860823e_bool(cOMBK_1079618832_state(X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[1623]) ).
fof(1697,plain,
! [X2] : ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X2),bot_bo1055319631e_bool)),
inference(variable_rename,[status(thm)],[899]) ).
cnf(1698,plain,
~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool)),
inference(split_conjunct,[status(thm)],[1697]) ).
fof(1816,plain,
! [X57,X58] :
( ~ hBOOL(wT_bodies)
| ~ equal(hAPP_p799580910on_com(body,X57),some_com(X58))
| hBOOL(hAPP_com_bool(wt,X58)) ),
inference(fof_nnf,[status(thm)],[225]) ).
fof(1817,plain,
! [X59,X60] :
( ~ hBOOL(wT_bodies)
| ~ equal(hAPP_p799580910on_com(body,X59),some_com(X60))
| hBOOL(hAPP_com_bool(wt,X60)) ),
inference(variable_rename,[status(thm)],[1816]) ).
cnf(1818,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(split_conjunct,[status(thm)],[1817]) ).
fof(1846,plain,
! [X1] :
( ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool))) ),
inference(fof_nnf,[status(thm)],[234]) ).
fof(1847,plain,
! [X2] :
( ~ hBOOL(hoare_298929751gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X2))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X2)),bot_bo1055319631e_bool))) ),
inference(variable_rename,[status(thm)],[1846]) ).
cnf(1848,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(split_conjunct,[status(thm)],[1847]) ).
cnf(1961,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[910]) ).
fof(2257,plain,
! [X11] : equal(hAPP_f921536533e_bool(collec727977250_state,X11),X11),
inference(variable_rename,[status(thm)],[342]) ).
cnf(2258,plain,
hAPP_f921536533e_bool(collec727977250_state,X1) = X1,
inference(split_conjunct,[status(thm)],[2257]) ).
fof(2570,plain,
! [X19] :
( ( ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X19))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X19),bot_bo1055319631e_bool)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X19),bot_bo1055319631e_bool))
| hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X19)) ) ),
inference(fof_nnf,[status(thm)],[433]) ).
fof(2571,plain,
! [X20] :
( ( ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X20))
| hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),bot_bo1055319631e_bool)) )
& ( ~ hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X20),bot_bo1055319631e_bool))
| hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X20)) ) ),
inference(variable_rename,[status(thm)],[2570]) ).
cnf(2573,plain,
( hBOOL(hAPP_f1760790145l_bool(hAPP_H248360617l_bool(member1758697444_state,X1),bot_bo1055319631e_bool))
| ~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)) ),
inference(split_conjunct,[status(thm)],[2571]) ).
cnf(2866,plain,
hBOOL(hoare_298929751gleton),
inference(split_conjunct,[status(thm)],[522]) ).
fof(2980,plain,
! [X9] : hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X9)),
inference(variable_rename,[status(thm)],[556]) ).
cnf(2981,plain,
hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,bot_bo1055319631e_bool),X1)),
inference(split_conjunct,[status(thm)],[2980]) ).
fof(3155,plain,
! [X40,X77,X78] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X77),X78))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X77),X40))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X40),X78)) ),
inference(fof_nnf,[status(thm)],[607]) ).
fof(3156,plain,
! [X79,X80,X81] :
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X80),X81))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X80),X79))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X79),X81)) ),
inference(variable_rename,[status(thm)],[3155]) ).
cnf(3157,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hAPP_f854625363l_bool(ord_le1720872323e_bool,X3),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[3156]) ).
cnf(3158,plain,
bot_bo1055319631e_bool = hAPP_f921536533e_bool(collec727977250_state,cOMBK_1079618832_state(fFalse)),
inference(split_conjunct,[status(thm)],[608]) ).
fof(3187,plain,
! [X40,X41] : is_bool(hAPP_com_bool(X40,X41)),
inference(variable_rename,[status(thm)],[618]) ).
cnf(3188,plain,
is_bool(hAPP_com_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[3187]) ).
cnf(3307,plain,
hBOOL(hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool)),
inference(split_conjunct,[status(thm)],[655]) ).
fof(3468,plain,
! [X40,X41] : is_bool(hAPP_f1760790145l_bool(X40,X41)),
inference(variable_rename,[status(thm)],[707]) ).
cnf(3469,plain,
is_bool(hAPP_f1760790145l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[3468]) ).
cnf(3508,plain,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[724]) ).
cnf(3771,plain,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[804]) ).
cnf(3778,plain,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[808]) ).
cnf(3781,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(split_conjunct,[status(thm)],[968]) ).
cnf(4006,plain,
cOMBK_1079618832_state(fFalse) = bot_bo1055319631e_bool,
inference(rw,[status(thm)],[3158,2258,theory(equality)]) ).
cnf(4007,plain,
( fFalse = hAPP_f1760790145l_bool(X1,X2)
| fTrue = hAPP_f1760790145l_bool(X1,X2) ),
inference(spm,[status(thm)],[1042,3469,theory(equality)]) ).
cnf(4034,plain,
( fFalse = hAPP_com_bool(X1,X2)
| fTrue = hAPP_com_bool(X1,X2) ),
inference(spm,[status(thm)],[1042,3188,theory(equality)]) ).
cnf(4057,plain,
~ hBOOL(hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1)),
inference(sr,[status(thm)],[2573,1698,theory(equality)]) ).
cnf(4077,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| $false
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(rw,[status(thm)],[1848,2866,theory(equality)]) ).
cnf(4078,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| $false
| $false
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(rw,[status(thm)],[4077,3771,theory(equality)]) ).
cnf(4079,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cn,[status(thm)],[4078,theory(equality)]) ).
cnf(4318,plain,
( hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1) = fFalse
| ~ is_bool(fFalse) ),
inference(spm,[status(thm)],[1624,4006,theory(equality)]) ).
cnf(4325,plain,
( hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1) = fFalse
| $false ),
inference(rw,[status(thm)],[4318,3508,theory(equality)]) ).
cnf(4326,plain,
hAPP_H513860823e_bool(bot_bo1055319631e_bool,X1) = fFalse,
inference(cn,[status(thm)],[4325,theory(equality)]) ).
cnf(4369,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X2)) ),
inference(spm,[status(thm)],[3157,2981,theory(equality)]) ).
cnf(4384,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| $false ),
inference(rw,[status(thm)],[1818,3771,theory(equality)]) ).
cnf(4385,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1) ),
inference(cn,[status(thm)],[4384,theory(equality)]) ).
cnf(4386,plain,
( hBOOL(hAPP_com_bool(wt,y))
| hAPP_p799580910on_com(body,X1) != hAPP_p799580910on_com(body,pn) ),
inference(spm,[status(thm)],[4385,3778,theory(equality)]) ).
cnf(15079,plain,
( hBOOL(fTrue)
| hAPP_f1760790145l_bool(finite784854244_state,bot_bo1055319631e_bool) = fFalse ),
inference(spm,[status(thm)],[3307,4007,theory(equality)]) ).
cnf(15102,plain,
( hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse
| ~ hBOOL(fTrue) ),
inference(spm,[status(thm)],[3781,4007,theory(equality)]) ).
cnf(15665,plain,
( hBOOL(fFalse)
| hBOOL(fTrue) ),
inference(spm,[status(thm)],[3307,15079,theory(equality)]) ).
cnf(15670,plain,
hBOOL(fTrue),
inference(sr,[status(thm)],[15665,1961,theory(equality)]) ).
cnf(15676,plain,
( hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse
| $false ),
inference(rw,[status(thm)],[15102,15670,theory(equality)]) ).
cnf(15677,plain,
hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse,
inference(cn,[status(thm)],[15676,theory(equality)]) ).
cnf(15980,plain,
~ hBOOL(fFalse),
inference(rw,[status(thm)],[4057,4326,theory(equality)]) ).
cnf(16321,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X2) = fFalse
| ~ hBOOL(fTrue) ),
inference(spm,[status(thm)],[4369,4007,theory(equality)]) ).
cnf(16334,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X2) = fFalse
| $false ),
inference(rw,[status(thm)],[16321,15670,theory(equality)]) ).
cnf(16335,plain,
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X2) = fFalse ),
inference(cn,[status(thm)],[16334,theory(equality)]) ).
cnf(16495,plain,
( hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse
| hBOOL(fFalse) ),
inference(spm,[status(thm)],[16335,15677,theory(equality)]) ).
cnf(16529,plain,
hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool)) = fFalse,
inference(sr,[status(thm)],[16495,15980,theory(equality)]) ).
cnf(16543,plain,
( hBOOL(fFalse)
| ~ hBOOL(hAPP_com_bool(wt,y)) ),
inference(spm,[status(thm)],[4079,16529,theory(equality)]) ).
cnf(16557,plain,
~ hBOOL(hAPP_com_bool(wt,y)),
inference(sr,[status(thm)],[16543,15980,theory(equality)]) ).
cnf(16568,plain,
( hAPP_com_bool(wt,y) = fFalse
| ~ hBOOL(fTrue) ),
inference(spm,[status(thm)],[16557,4034,theory(equality)]) ).
cnf(16569,plain,
( hAPP_com_bool(wt,y) = fFalse
| $false ),
inference(rw,[status(thm)],[16568,15670,theory(equality)]) ).
cnf(16570,plain,
hAPP_com_bool(wt,y) = fFalse,
inference(cn,[status(thm)],[16569,theory(equality)]) ).
cnf(22457,plain,
( hBOOL(fFalse)
| hAPP_p799580910on_com(body,X1) != hAPP_p799580910on_com(body,pn) ),
inference(rw,[status(thm)],[4386,16570,theory(equality)]) ).
cnf(22458,plain,
hAPP_p799580910on_com(body,X1) != hAPP_p799580910on_com(body,pn),
inference(sr,[status(thm)],[22457,15980,theory(equality)]) ).
cnf(22459,plain,
$false,
inference(er,[status(thm)],[22458,theory(equality)]) ).
cnf(22460,plain,
$false,
22459,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWW/SWW474+2.p
% --creating new selector for []
% -running prover on /tmp/tmpomk_Yn/sel_SWW474+2.p_1 with time limit 29
% -running prover with command ['/davis/home/graph/tptp/Systems/SInE---0.4/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/tmp/tmpomk_Yn/sel_SWW474+2.p_1']
% -prover status Theorem
% Problem SWW474+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SWW474+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SWW474+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------